Go Geometry: Quadrilaterals

The Incas used trapezoids for all their windows and doors, which withstand earthquakes well.

Quadrilaterals: Theorems and Problems 5

Quadrilateral Index

  

Elearning 312: Cyclic quadrilateral

Proposed Problem 312.
Cyclic quadrilateral, Side extensions, Tangents.

Quadrilateral, Perpendicular, Squares, Area

Proposed Problem 280.
Quadrilateral, Perpendiculars, Area of Squares.

Problem 273 Triangle and Squares

Proposed Problem 273.
Triangle, Perpendiculars, Area of Squares.

Rectangle, Isosceles Right Triangle, Square, Area

Proposed Problem 252.
Parallelogram, sides, diagonals, squares, areas.

Elearning 251: Parallelogram

Proposed Problem 251.
Parallelogram, sides, diagonals, squares, areas.

Quadrilateral, diagonals, midpoints

Proposed Problem 250.
Quadrilateral, sides, diagonals, midpoints, squares.

Elearning 245: Parallelogram

Proposed Problem 245. Parallelogram with Equilateral triangles

Elearning 244: Square center, diagonal

Proposed Problem 244. Square, Diagonals, Centers, Distance.

Elearning 243

Proposed Problem 243. Triangle with Equilateral triangles, Parallelogram.

Elearn 242: Equilateral triangle and parallelogram

Proposed Problem 242. Triangle with Equilateral triangles, Parallelogram.

Triangle with equilateral triangles

Proposed Problem 240. Triangle with Equilateral triangles, Parallelogram.

Square, Midpoint, Congruence, Pythagoras

Proposed Problem 239. Square, Midpoints, Lines, Congruence, Pythagoras.

Square. Midpoint, Congruence

Proposed Problem 238. Square, Midpoints, Lines, Congruence.

Quadrilateral, midpoints

Proposed Problem 237. Quadrilateral, Midpoints, Exterior line, Perpendicular lines.

Quadrilateral, midpoints

Proposed Problem 236. Quadrilateral, Midpoints, Exterior line, Perpendicular lines.

Problem about Parallelogram and transversal

Proposed Problem 235. Parallelogram, Transversal line, Perpendicular lines.

Problem 233: Parallelogram

Proposed Problem 234. Parallelogram, Line through a vertex, Perpendicular lines.

Elearn 232: Parallelogram

Proposed Problem 233. Parallelogram, Exterior line, Perpendicular lines.

Elearn 232: Parallelogram, perpendicular lines

Proposed Problem 232. Parallelogram, Line through a vertex, Perpendicular lines.

Elearn 230: Triangle, Midpoint, Transversal

Proposed Problem 230. Triangle, Midpoints, Transversal, Perpendicular lines.

Elearn 229: Triangle, Centroid, Transversal

Proposed Problem 229. Triangle, Centroid, Transversal, Perpendicular lines.

Elearn 228: Triangle, Midpoint

Proposed Problem 228. Triangle, Midpoints, Exterior line, Perpendiculars lines.

Elearn 227: Triangle, Centroid

Proposed Problem 227. Triangle, Centroid, Exterior line, Perpendicular lines.

Problem 226: Triangle, Centroid

Proposed Problem 226. Triangle, Centroid, Perpendiculars.

Viviani theorem extension, regular polygon

Proposed Problem 225. Viviani's Theorem Extension, Regular Polygon, Apothem, Distance.

Rhomus problem

Proposed Problem 219. Rhombus, perpendiculars, arithmetic mean.

Elearn: Quadrilateral, Angle Bisectors, Concurrency

Proposed Problem 216. Quadrilateral, Angle Bisectors, and Concurrency.

Elearn 215: Cyclic quadrilateral

Proposed Problem 215. Quadrilateral, Angle Bisectors, and Cyclic Quadrilateral.

Elearn 214

Proposed Problem 214. Quadrilateral and Angle Bisectors.

Classical Theorems

Classical Theorems.

Archimedes Arbelos and Square

Archimedes Arbelos and Square 2. Dynamic Geometry Software.
Step-by-Step construction, Manipulation, and animation.

Archimedes Arbelos and Square

Archimedes Arbelos and Square 1. Dynamic Geometry Software.
Step-by-Step construction, Manipulation, and animation.

Geometry problem about angles and triangle

Proposed Problem 198. Triangle, Quadrilateral, Angles.

Geometry Problem 191 about triangle and squares

Proposed Problem 191. Triangle, Altitudes, Orthocenter, Squares, Areas.

Elearning 189

Proposed Problem 189. Squares, Distances.

Elearning 188

Proposed Problem 188. Square, Diagonal, 45 Degrees Angle.

Trapezoid and triangle problem

Proposed Problem 185. Trapezoid, Triangles and Angles.

Elearning: Triangle, Angle

Proposed Problem 184. Triangle and Angles.

Circular Sector 90 degree

Proposed Problem 181. Circular Sector of 90 degrees, find an angle.

Rhombus, Square, Angle

Proposed Problem 179. Rhombus, Square, Diagonal, Angle.  

Geometry problem 178 Quadrilateral area

Proposed Problem 178. Quadrilateral, Trisection of sides, Area.

Elearning 177: Parallelogram with midpoints, Area

Proposed Problem 177. Parallelogram with Midpoints, Triangles, Areas.

Elearning 176: Quadrilateral Area Problem

Proposed Problem 176. Quadrilateral with Midpoints, Triangles, Areas.

Elearning 175: Quadrilateral Area Problem

Proposed Problem 175. Quadrilateral with Midpoints, Areas.

Quadrilateral with Midpoints, Triangles Area

Proposed Problem 174. Quadrilateral with Midpoints, Triangles, Areas.

Quadrilateral with Midpoints, Triangles Area

Proposed Problem 173. Quadrilateral with Midpoints, Triangles, Areas.

Elearning 172: Trapezoid, Quadrilateral, Area

Proposed Problem 172. Trapezoid, Midpoints, Quadrilaterals, Areas.

Elearning 172: Trapezoid, Midpoints, Quadrilaterals, Areas

Proposed Problem 171. Trapezoid, Midpoints, Triangles, Areas.

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Last updated: May 7, 2009